CP Violation via ρω\rho \omega Interference

We consider $B^{\pm,0} \to \rho^0(\omega)h^{\pm,0}$, where $\rho^0(\omega)$ decays to $\pi^+\pi^-$ and $h$ is any hadronic final state, such as $\pi$ or $K$. We find a large direct CP asymmetry in B-meson decays via $\rho \omega$ interference. A possible method to determine weak phases, such as $\phi_{2,3}$, is discussed. The experimental feasibility is also shown.Comment: 7 pages, latex(sprocl.sty included), 2 figures. Talk presented at "Int. Conf. on B-physics and CP violation" Hawaii 9

Dynamical Electroweak Symmetry Breaking from Extra Dimensions

We study the dynamical electroweak symmetry breaking (DEWSB) in the $D (=6,8,...)$-dimensional bulk with compactified extra dimensions. We identify the critical binding strength for triggering the DEWSB, based on the ladder Schwinger-Dyson equation. In the top mode standard model with extra dimensions, where the standard model gauge bosons and the third generation of quarks and leptons are put in the bulk, we analyze the most attractive channel (MAC) by using renormalization group equations (RGEs) of (dimensionless) bulk gauge couplings and determine the effective cutoff where the MAC coupling exceeds the critical value. We then find that the top-condensation can take place for D=8. Combining RGEs of top-Yukawa and Higgs-quartic couplings with compositeness conditions, we predict the top mass, $m_t=173-180$ GeV, and the Higgs mass, $m_H=181-211$ GeV, for D=8, where we took the universal compactification scale $1/R = 1-100$ TeV.Comment: 8 pages, Talk given at the 2002 International Workshop On "Strong Coupling Gauge Theories and Effective Field Theories" (SCGT 02), Nagoya, Japan, 10-13 December 200

Renormalization in the Gauged Nambu--Jona-Lasinio Model

Based on the Cornwall-Jackiw-Tomboulis effective potential, we extensively study nonperturbative renormalization of the gauged Nambu-Jona-Lasinio model in the ladder approximation with standing gauge coupling. Although the pure Nambu-Jona-Lasinio model is not renormalizable, presence of the gauge interaction makes it possible that the theory is renormalized as an interacting continuum theory at the critical line in the ladder approximation. Extra higher dimensional operators (``counter terms'') are not needed for the theory to be renormalized. By virtue of the effective potential approach, the renormalization (``symmetric renormalization'') is performed in a phase-independent manner both for the symmetric and the spontaneously broken phases of the chiral symmetry. We explicitly obtain $\beta$ function having a nontrivial ultraviolet fixed line for the renormalized coupling as well as the bare one. In both phases the anomalous dimension is very large ($\ge 1$) without discontinuity across the fixed line. Operator product expansion is explicitly constructed, which is consistent with the large anomalous dimension owing to the appearance of the nontrivial extra power behavior in the Wilson coefficient for the unit operator. The symmetric renormalization breaks down at the critical gauge coupling, which is cured by the generalized renormalization scheme (``\tM-dependent renormalization''). Also emphasized is the formal resemblance to the four-fermion theory in less than four dimensions which is renormalizable in $1/N$ expansion.Comment: 72 pages, 12 figures (not included), LaTeX file, KEK-TH-344/KEK preprint 92-86/CHIBA-EP-65/DPNU-92-2